Given that the slope is -4 and the y intercept is -4 what is the equation of the line?

About 75% of the students' scores exceeded the score mentioned in the boxplot.

In a boxplot, the box represents the interquartile range (IQR), which contains the middle 50% of the data. The lower whisker extends to the minimum value within 1.5 times the IQR below the first quartile (Q1), and the upper whisker extends to the maximum value within 1.5 times the IQR above the third quartile (Q3).

Since the boxplot does not provide specific numerical values, we can infer that the mentioned score lies within the upper whisker, which represents the top 25% of the data. Therefore, about 75% of the students' scores exceeded this score.

It's important to note that without the actual values or specific percentiles, we can only estimate the percentage based on the visual representation of the boxplot. The exact percentage may vary depending on the scale and distribution of the data. To obtain a more precise estimate, additional information such as the quartiles or a histogram of the scores would be needed.

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Answer:

0.0067 = 0.67% probability of selecting at least 3 defective fuses.

Step-by-step explanation:

For each fuse, there are only two possible outcomes. Either it is defective, or it is not. The probability of a fuse being defective is independent of any other fuse, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

A company manufactures fuses. The percentage of non-defective fuses is 95.4%.

This means that 100 - 95.4 = 4.6% = 0.046 are defective, which means that \(p = 0.046\)

A sample of 9 fuse was selected.

This means that \(n = 9\)

Calculate the probability of selecting at least 3 defective fuses.

This is:

\(P(X \geq 3) = 1 - P(X < 3)\)

In which

\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)\)

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{9,0}.(0.046)^{0}.(0.954)^{9} = 0.6545\)

\(P(X = 1) = C_{9,1}.(0.046)^{1}.(0.954)^{8} = 0.2840\)

\(P(X = 2) = C_{9,2}.(0.046)^{2}.(0.954)^{7} = 0.0548\)

Then

\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.6545 + 0.2840 + 0.0548 = 0.9933\)

\(P(X \geq 3) = 1 - P(X < 3) = 1 - 0.9933 = 0.0067\)

0.0067 = 0.67% probability of selecting at least 3 defective fuses.

Answer:

37.5

Step-by-step explanation:

First you have to realize that these are similar triangles.

You can do a easy cross multiplication with these types of questions by forming an equation with the similar angles.

put the smaller above the decimal and the bigger one below like this.

\(\frac{8}{25}\)=\(\frac{12}{x}\)

Now cross multiply

8x=300

x=37.5

\(2 - 3csc(x) > 8 \\ 2 - \frac{3}{sin(x)} > 8 \\ - 6 > \frac{3}{sin(x)} \\ - 2 > \frac{1}{sin(x)} \\ \frac{ - 1}{2} < sin(x) \: \: or \: \: \: sin(x) > \frac{ - 1}{2} \\ \\ \)

\(sin( \frac{ - \pi}{6} ) = \frac{ - 1}{2} \)

\(x \: in \: \: [0, \frac{7\pi}{6}[U] \frac{11 \pi }{6} ,2\pi] + 2k\pi\)

Answer:

D. pi<x<7pi/6 and 11pi/6<x<2

Step-by-step explanation:

Took the test and this is the correct answer

The given equation,

\(: \: \implies \: \sf{- 4 \times (x - 1) = 2 (x - 4) }\)

\(: \: \implies \: \sf{- 4x + 4 \: = \: 2 (x - 4) }\)

\(: \: \implies \: \sf{- 4x + 4 \: = \: 2 \times (x - 4) }\)

\(: \: \implies \: \sf{- 4x + 4 \: = \: 2x - 8 }\)

\(: \: \implies \: \sf{- 4x - 2x + 4\: = \: - 8 }\)

\(: \: \implies \: \sf{- 4x - 2x\: = \: - 8 - 4}\)

\(: \: \implies \: \sf{- 4x - 2x\: = \: -12}\)

\(: \: \implies \: \sf{ - 6x\: = \: -12}\)

\(: \: \implies \: \sf{ \cancel- \: 6x\: = \: \cancel- \: 12}\)

\(: \: \implies \: \sf{6x\: = \: \: 12}\)

\(: \: \implies \: \sf{x\: = \: \dfrac{12}{6} }\)

\(: \: \implies \: \sf{x\: = \: \cancel\dfrac{12}{6} }\)

\(: \: \implies \: \red{\bf{x\: = \:2 }}\)

Answer:

\(x=-2\) ⇒ \(y=2\)

\(x=-1\) ⇒ \(y=-4\)

\(x=0\) ⇒ \(y=-6\)

\(x=1\) ⇒ \(y=-4\)

Step-by-step explanation:

Formula: \(y=2x^{2} -6\)

To find the value of \(y\) add the value of \(x\) given:

Now solve for each:-

For:

\(x=-2\)

\(y=2(-2)^{2} -6\)

\(y=2\)

For:

\(x=-1\)

\(y=2(-1)^{2} -6\)

\(y=-4\)

For:

\(x=0\)

\(y=2(0)^{2} -6\)

\(y=-6\)

For:

\(x=1\)

\(y=2(1)^{2}-6\)

\(y=-4\)

hope this helps.....

Answer:

the program I will get back to you on that date is approaching the

Step-by-step explanation:

the program I will get back to you on that date is approaching the

Answer: 90

Step-by-step explanation:

50% = 1/2

1/2 of 60 is 30

60+30=90

Answer:

The answer is

Step-by-step explanation:

f(x) = 36x^5 − 44x⁴ − 28x³

g(x) = 4x²

To find f(x) / g(x) Divide each term of f(x) by g(x)

That's

\( \frac{f(x)}{g(x)} = \frac{ {36x}^{5} - {44x}^{4} - {28x}^{3} }{ {4x}^{2} } \\ \\ = \frac{ {36x}^{5} }{ {4x}^{2} } - \frac{ {44x}^{4} }{ {4x}^{2} } - \frac{ {28x}^{3} }{ {4x}^{2} } \\ \\ = {9x}^{3} - {11x}^{2} - 7x\)

Hope this helps you

Answer:

9x³ - 11x² - 7x

Step-by-step explanation:

guy abpove is right or bwlowe

The pick-up rate in this scenario would be 80%. This is calculated by dividing the number of rooms occupied (160) by the number of rooms reserved (200), and then multiplying by 100 to get a percentage. So, (160/200) x 100 = 80%. This means that 80% of the reserved rooms were ultimately occupied.

It's important to note that a pick-up rate of 80% is generally considered to be a good result in the hospitality industry. It indicates that the hotel was able to accurately predict the number of rooms that would be needed by the groups, and that the groups themselves followed through on their reservations. A lower pick-up rate could suggest that the hotel overestimated demand, or that some of the groups cancelled their bookings at the last minute. On the other hand, a higher pick-up rate could indicate that the hotel was too conservative in its initial estimates, or that some of the groups requested additional rooms after the initial reservation was made. Ultimately, the pick-up rate is a useful metric for assessing the accuracy of a hotel's forecasting and planning processes.

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Answer:

-3 -2.5 -1 2 5

Step-by-step explanation:

In order to do this you can look on a number line or you could look at the numbers carefully and the biggest number with a minus is what you start with and end it with a positive number.

Answer:

Discriminant = 49, two real solutions

Step-by-step explanation:

Discriminant = b² - 4ac = (5)² - 4(3)(-2) = 25 + 24 = 49

Since 49>0, then the quadratic equation has two real solutions.

Answer:

D=49  

x=1/3

x= -2

27

12x4=48

then 3+3+3=9 because its 3/4

then you add 12 because of the 1

then 48-21=27

Answer: its 27

Step-by-step explanation: give it to him or her they earned  it

Since the Pennsylvania lottery was rigged, the probability of drawing a 666 in the April 24th, 1980 drawing is 100%. The probability of drawing a 666 in the September 19th, 1980 Connecticut lottery, however, is extremely low, as it was not rigged and the odds of picking a specific 6-digit combination are 1 in 1 million.

To calculate this probability, you would take 1 divided by 1 million, which would be 0.000001. This means that the probability of drawing a 666 in the Connecticut lottery is 0.000001.   In conclusion, the probability of drawing a 666 in the April 24th, 1980 Pennsylvania lottery is 100%, while the probability of drawing a 666 in the September 19th, 1980 Connecticut lottery is 0.000001.

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Answer:

since the equation of the line passing through the given point is perpendicular to the given line(m2= -1/m1)

using the formula y=mx+c

y=2/3x +1

m1=2/3

m2= -1/2/3

m2= -3/2

the slope of the second line is -3/2 and it passes through the point(3,-2)

using the formula y-y1 = m(x-x1)

y-(-2)= -3/2(x-3)

y+2= -3/2(x-3)

multiply both sides by 2

2(y+2) = -3(x-3)

2y+4 = -3x+9

2y = -3x+5

y= -3/2x + 5/2

Main Answer: A normalized binary number typically consists of three parts:

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Final Answer: A normalized binary number typically consists of three parts:

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There are several rationales for avoiding the pooled two-sampled t procedures for inferences. Here are a few:In certain cases, the assumption of equal population variances may be wrong, causing the pooled t procedures to yield unreliable results.

In case the assumption of equal population variances is violated, Welch's t-test is more powerful than the pooled t-test.If the sample sizes of the two groups being compared are significantly unequal, the pooled t-test can produce misleading results, and Welch's t-test should be used instead.Therefore, the rationale for avoiding the pooled two-sampled t procedures for inferences is that the assumption of equal population variances might be inaccurate, causing unreliable and less efficient results.When comparing two population means, a two-sample t-test is commonly used. The pooled two-sample t-test is one of the most widely utilized methods for comparing means. It assumes that the two populations have equal variance, and it has been shown to be quite reliable when this assumption is valid.However, if the populations have unequal variances, this assumption can be incorrect, and the pooled t-test can yield unreliable results. If the population variances are not equal, the Welch's t-test is often used. It does not assume equal variances and is more powerful when this assumption is not met. When comparing two groups with different sample sizes, the t-test may produce misleading results if the variances are unequal. In this situation, Welch's t-test is used because it is more accurate and effective in these circumstances.

Thus, if we don't know if the variances of the populations are equal, we should avoid using the pooled t-test and instead use Welch's t-test, which is more powerful and does not require the equal variance assumption.

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Answer:

1/5 + 3/5 = 45 = 0.8

Step-by-step explanation:

Spelled result in words is four fifths.

Answer:

102

Step-by-step explanation:

because you're finding the perimeter you already have 2 sides which is 15 and 19 so the other sides would of been 30 and 38 so 15 + 19+30+38=102 I really hope I am correct

Answer:

(3/5)^8

or

\(\frac{3^8}{5^8}\)

or, optionally

approx. 0.0167

Step-by-step explanation:

(3/5)^4 * (3/5)^4

Think about the separate 3/5's:

(3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5)

There are 8 of them, therefore the answer is:

(3/5)^8

or

\(\frac{3^8}{5^8}\)

Answer:

B

Step-by-step explanation:

35% off of $8.00 is equal to $5.20

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That is a question about perimeter of rectangle.

The perimeter of a geometric shape is the sum of the value of the all sides.

In a rectangle, the opposite sides are cogruentes (equals). For example, look at picture below. In that rectangle, the sides AB and DC are equals, and the sides AD and BC are equals.

So, the sides of that rectangular table are: 1.52m, 1.52m, 0.75m and 0.75.

Therefore, the perimeter of that rectangle is \(1.52+1.52+0.75+0.75= 4.54\)m.

But that is not the final answer because that is the perimeter in meters and the question want the answer in centimeters.

1 meter has 100 centimeter, so we need to multiplicate the perimeter by 100.

Thus, the perimeter of that rectangular table is \(4.54\cdot 100 = 454\)cm.

The inequalities are solved and the operations does not change

Given data ,

a)

Let the inequality be 4 < 7

Multiplying both sides by 7: 47 < 77, which simplifies to 28 < 49.

Multiplying both sides by 6: 628 < 649, which simplifies to 168 < 294.

Multiplying both sides by 3: 3168 < 3294, which simplifies to 504 < 882.

Multiplying both sides by 10: 10504 < 10882, which simplifies to 5040 < 8820.

The inequality sign remained "<" (less than), and the inequality was still true. Multiplying by a positive number does not change the direction of the inequality

b)

Let the inequality be 11 > -2

Adding 5 to both sides: 11 + 5 > -2 + 5, which simplifies to 16 > 3.

Adding 3 to both sides: 16 + 3 > 3 + 3, which simplifies to 19 > 6.

Adding (-4) to both sides: 19 + (-4) > 6 + (-4), which simplifies to 15 > 2.

The inequality sign remained ">" (greater than), and the inequality was still true. Adding a positive number to both sides of an inequality does not change the direction of the inequality

c)

Let the inequality be -4 < -2

Subtracting 6 from both sides: -4 - 6 < -2 - 6, which simplifies to -10 < -8.

Subtracting 8 from both sides: -10 - 8 < -8 - 8, which simplifies to -18 < -16.

Subtracting 2 from both sides: -18 - 2 < -16 - 2, which simplifies to -20 < -18.

The inequality sign remained "<" (less than), and the inequality was still true. Subtracting a positive number from both sides of an inequality does not change the direction of the inequality

d)

Let the inequality be -8 < 8

Dividing both sides by -4: -8/-4 < 8/-4, which simplifies to 2 < -2.

Dividing both sides by -2: 2/-2 < -2/-2, which simplifies to -1 < 1.

The inequality sign remained "<" (less than), but the inequality is not true anymore. Dividing both sides of an inequality by a negative number changes the direction of the inequality.

Hence , the inequalities are solved

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Answer:

230

Step-by-step explanation:

Answer:

6 units

Step-by-step explanation:

Just count

The distance between points A and B is 6 units.

Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

In geometry, Distance between two points will be always a positive number.

Distance will be 0, if the points coincide.

Here on a number line, A is marked at -5 and B at 1.

We have to find the distance between A and B.

Distance between A and B = 1 - -5 = 1 + 5 = 6 units

Hence distance between A and B is 6 units.

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To find the number of people who like all three fruits, we can use the principle of inclusion-exclusion.In a group of 6 people, 45 like apples, 30 like bananas, and 15 like oranges.

The total number of people who like only two fruits is 22, and they like at least one of the fruits.

Let's break it down:
- The number of people who like apples only is 45 - 22 = 23.
- The number of people who like bananas only is 30 - 22 = 8.
- The number of people who like oranges only is 15 - 22 = 0 (since there are no people who like only oranges).
To find the number of people who like all three fruits, we need to subtract the number of people who like only one fruit from the total number of people in the group:

6 - (23 + 8 + 0)

= 6 - 31

= -25.
Since we can't have a negative number of people, there must be an error in the given information or the calculations. Please check the data provided and try again.

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There are no people in the group who like all three fruits. In a group of 6 people, 45 like apples, 30 like bananas, and 15 like oranges. We need to find the number of people who like all three fruits. To solve this, we can use a formula called the inclusion-exclusion principle.

This principle helps us calculate the number of elements that belong to at least one of the given sets.

Let's break it down:

1. Start by adding the number of people who like each individual fruit:
  - 45 people like apples
  - 30 people like bananas
  - 15 people like oranges

2. Next, subtract the number of people who like exactly two fruits. We know that there are 22 people who fall into this category, and they also like at least one of the fruits.

3. Finally, add the number of people who like all three fruits. Let's denote this number as "x".

Using the inclusion-exclusion principle, we can set up the following equation:

    45 + 30 + 15 - 22 + x = 6

Simplifying the equation, we get:

    68 + x = 6

Subtracting 68 from both sides, we find that:

    x = -62

Since the number of people cannot be negative, we can conclude that there are no people who like all three fruits.

In conclusion, there are no people in the group who like all three fruits.

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The LS estimator of βˆ0 in a simple linear regression model is equal to the sample mean of the dependent variable, while the LS estimator of βˆ1 is equal to the sample covariance between x and y divided by the sample variance of x.

1. LS estimator of βˆ0:

In a simple linear regression model, the equation is y = β0 + ε, where y represents the dependent variable, β0 is the intercept, and ε is the error term. The LS estimator of βˆ0 is obtained by minimizing the sum of squared residuals (SSR). The SSR is defined as the sum of the squared differences between the observed values of y and the predicted values of y based on the model.

When we minimize the SSR, we differentiate it with respect to β0 and set the derivative equal to zero. This leads to the condition that the LS estimator of βˆ0 is equal to the value of β0 that minimizes the SSR. The value of β0 that minimizes the SSR is the one that makes the sum of the residuals equal to zero.

Since the residuals represent the differences between the observed values of y and the predicted values of y, the sum of the residuals can be interpreted as the sum of the deviations of the observed values from the predicted values. When the sum of the residuals is zero, it implies that the sum of the deviations is also zero.

Therefore, the LS estimator of βˆ0 is equal to the sample mean of the dependent variable, as the sample mean represents the average value of the dependent variable and minimizes the deviations from the predicted values.

2. LS estimator of βˆ1:

In a simple linear regression model, the equation is y = β0 + β1x + ε, where y represents the dependent variable, x represents the independent variable, β0 is the intercept, β1 is the slope, and ε is the error term. The LS estimator of βˆ1 is obtained by minimizing the SSR, similar to the LS estimator of βˆ0.

To derive the LS estimator of βˆ1, we differentiate the SSR with respect to β1 and set the derivative equal to zero. This leads to the condition that the LS estimator of βˆ1 is equal to the value of β1 that minimizes the SSR. The value of β1 that minimizes the SSR is the one that makes the sum of the products of the residuals and the corresponding values of x equal to zero.

The product of the residuals and the values of x represents the covariance between x and y, as it measures the joint variability between the two variables. The sum of these products being zero implies that the covariance between x and y is zero.

The sample covariance between x and y divided by the sample variance of x is an unbiased estimator of the population slope β1. Hence, the LS estimator of βˆ1 is given by the sample covariance between x and y divided by the sample variance of x.

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